Well to get a feel for how fast you need to be to pick up the early wonders, I did a few test games with the GOTM8 settings.
Here are the completion time for the various wonders based on 9 test games.(all I did was build military
Stonehenge
Early: 2120BC Median: 1120BC Latest: 1000BC (3 times!)
Oracle
Early: 1120BC Median: 950BC Latest: 550BC
Great Lighthouse
Early: 900BC Median: 325BC Latest: 25AD
Pyramids
Early: 725BC Median: 300BC Latest: 25AD
Parthenon
Early: 750BC Median: 100AD Latest: 880AD (twice)
Collossus
Early: 175BC Median: 880AD Latest: 1735AD+ (I got tired of waiting lol)
I didn't track Great Library during all of them, but during the last 5 runs, the earliest it completed was 400AD.
Couple thoughts:
The early completion dates are correlated. If you have a wonder producing civ against you, they tend to create a lot of early wonders. If Stonehenge arrives super early, tighten up your path to the CS slingshot or you might be sorry
In general a very tight path to oracle is almost certain to succeed. You might try to squeeze in the Great Lighthouse before the Oracle, but in general the AIs will build Oracle first, so I would make building the oracle the priority. In only one game did the GLighthouse arrive before the Oracle (635bc vs 550bc) and generally it was much much later.
I haven't started the GOTM yet, but my current plan is something like this:
1. Basic fast oracle CS slingshot starting with fishing. Probably adding AH to the research plan both to hook up the pigs but to also allow an earlier writing/library. Getting the scientist early before it is polluted with other Great People Points I think is worth the oracle delay.
2. After CS is discovered, I plan on focusing on the G. lighthouse (pump out a settler while researching the GL techs).
3. It gets fuzzier here. I would love to snag the pyramids, but military and expansion likely can't be ignored further. In many practice games I get beat to pyramids and have to suffer through with a cash infusion lol.
4. Aside from the pyramids decision, I am generally heading for metal casting and machinery. Forges and the Colossus are nice (although I don't put huge priority on Colossus since it seems to go away quickly).
5. If there are other civs nearby, I have had good success focusing on techs for catapults and macemen. I can usually bring them to bear while still facing archers with perhaps a couple of more modern units.
6. during the military buildup, I like to squeeze in the Great Library.
All of it is subject to conditions, but that is my general plan. I'm still playing around with the mid game a bit before I'll give it a go.
Goodluck all.
GS